1. \( 4 x \) \( 6 x^{3}+4 x \) \( 2 x^{2}+2 \) \( 12 x^{3}+8 x \) \( 3 x^{2}+2 \) \( 8 x \) Mrs. Gutierrez placed an expression on the board and asked students to set up the division problem and determine the quotient. \[ \left(12 x^{3}+8 x\right) \div 4 x \] Complete the statement about the expression. You may not use all the options. In the expression, the divisor is \( \square \) , the quotient is \( \square \) , and the dividend is \( \square \) ? (c) 2025 Renaissance Learning, Inc. All Rights Reserve

To analyze the division problem: \[ \left(12 x^{3}+8 x\right) \div 4 x \] We need to identify the **divisor**, **quotient**, and **dividend** from the given options. 1. **Dividend**: This is the expression being divided. - **Dividend**: \(12 x^{3} + 8 x\) 2. **Divisor**: This is the expression by which the dividend is divided. - **Divisor**: \(4 x\) 3. **Quotient**: This is the result of the division. - **Quotient**: \(3 x^{2} + 2\) Putting it all together: - **Divisor**: \(4 x\) - **Quotient**: \(3 x^{2} + 2\) - **Dividend**: \(12 x^{3} + 8 x\) **Complete Statement:** In the expression, the divisor is \(4 x\), the quotient is \(3 x^{2} + 2\), and the dividend is \(12 x^{3} + 8 x\).